Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof

DOI10.1080/00927870902747902zbMath1181.13024arXiv1009.0790OpenAlexW2963289750MaRDI QIDQ3644336

Ibrahim Al-Ayyoub

Publication date: 4 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0790

zbMATH Keywords

toric varietyGröbner basespolynomial ideals

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (3)

Bases and Ideal Generators for Projective Monomial Curves ⋮ The Ratliff-Rush closure of initial ideals of certain prime ideals ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves

Cites Work

• Unnamed Item
• Generators for the derivation modules and the relation ideals of certain curves
• Minimal sets of generators for the relation ideals of certain monomial curves
• Finite lattices and lexicographic Gröbner bases
• Gröbner bases of toric varieties
• Introduction to Toric Varieties. (AM-131)
• A Gröbner Basis for Certain Affine Monomial Curves

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